Mathematics - Probability Question with Solution | TestHub

Paragraph: A box $B_1$ contains $1$ white ball, $3$ red balls and $2$ black balls. Another box $B_2$ contains $2$ white balls, $3$ red balls and $4$ black balls. A third box $B_3$ contains $3$ white balls, $4$ red balls and $5$ black balls.
Question: If $1$ ball is drawn from each of the boxes $B_1,B_2$ and $B_3$, the probability that all $3$ drawn balls are of the same colour is